Name
Abstract | ||
|---|---|---|
We present a method for constructing an n-sided patch of parametric surface, with n greater than 2. The main property of the resulting patch is that its boundary coincides with a B-spline. Thus, it can easily be connected to given B-spline surfaces with fixed continuity conditions. The patch is built from a star-shaped input mesh that outlines a generic n-hole and a surface in a vicinity of the hole. The main advantages of the method are the following: continuity conditions of arbitrary order k can be imposed; the mesh involved can have an arbitrary number of sides and an arbitrary shape (convex or not); the simplicity of the construction process makes it an easy and flexible method; and finally, the surface near the boundary is a B-spline with piecewise uniform knot sequences and whose control points are vertices of the mesh (both knot sequences and control points are easily computed). We give implementation details for evaluating a surface point and show that the de Boor algorithm can be exploited for efficiency. |
Year | DOI | Venue |
|---|---|---|
2006 | 10.1016/j.cag.2006.05.001 | Computers & Graphics |
Keywords | DocType | Volume |
B-splines,parametric surface,B-spline boundary,resulting patch,arbitrary order k,flexible method,Continuity,B-spline surface,arbitrary shape,n-sided patch,arbitrary number,control point,Computer-aided geometric design,n -sided patches,N-sided patch,surface point | Journal | 30 |
Issue | ISSN | Citations |
6 | Computers & Graphics | 2 |
PageRank | References | Authors |
0.38 | 10 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| N. Pla-Garcia | 1 | 8 | 0.90 |
| M. Vigo-Anglada | 2 | 8 | 0.90 |
| J. Cotrina-Navau | 3 | 8 | 0.90 |